A block of ice slides down a 60-meter chute with an acceleration of 4 m/s2 . What was the initial velocity of the block if it reaches the bottom in 5 s? Antiderivative topic.

Q: c. A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec.…

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Q: Assume the accleration of the object is a(t) = −32 feet per second per second. (Neglect air…

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Q: 1. Water is flowing into a vertical cylindrical tank at the rate of 24 ft3/min. If the radius of the…

A: As per guidelines, we are supposed to solve only first two questions. Please repost other questions…

Q: It takes 120 J of work to stretch a spring 0.5 m from its equilibrium position. How much work is…

A: Consider the given values and the formula for the work in integral form. Work=W=120…

Q: An object is dropped from 260 ft. above the surface of the moon with an initial velocity of 0…

A: Let's solve for time taken the object to hit the surface of the moon.

Q: A 5-g coin is dropped from a 300-m building. If it reaches a terminal velocity of 45 m/s, and the…

A: Given Weight of the coin =5×10-3kg The initial velocity of the coin =0 The final velocity of the…

Q: With what initial velocity must an object be thrown upward (from a height of 3 meters) to reach a…

A: Given , S= 150-3            S= 147 m            a = -9.8 m/s2

Q: An object of mass 4.3 kg and volume 0.3 m3 is completely submerged in a tank of fluid with density…

A: As object is complementary submerged the volume of fluid displaced object V=0.3m3  fluid density…

Q: Fireworks are fired up from a platform 3 ft. above the ground with an initial velocity of 125 ft/s.…

A: Given that: Fireworks are fired up from a platform 3 ft. above the ground with an initial velocity…

Q: A stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

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Q: A faucet is filling a hemispherical basin of diameter 60 cmwith water at a rate of 2L/min . Find the…

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Q: A 6.3-kg box is being lifted by means of a light rope that is threaded through a single, light,…

A: h = 1.5 mt = .42 sh = 1/2 * a * t^2====> a = 2h / t^2 = 3 / .1764 = 17.00 m/s^2final velocity, v…

Q: A hemispherical dome has a diameter of 100 m. A searchlight was placed at a point A located at the…

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Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: A cone with an altitude of 40 cm has its base radius changing at the rate of 2 mm/s. How fast is its…

A: The lateral surface area, S, of a cone is calculated using the formula: S=πrr2+h2, where r, h are…

Q: A particle travels in a circle of radius 12 m at a constant speed of 21 m/s. What is the magnitude…

A: Given: A particle travels in a circle of radius 12 m at a constant speed of 21 m/s Therefore, speed…

Q: Calculate the rate of change of escape velocity vesc = (2.82 × 107)r −1/2 m/s with respect to…

A: Given, vesc=2.82×107r-12 m/s where r is a distance from the center of the earth.

Q: You throw a ball (from ground level) of mass 1 kilogram upward with a velocity of v = 27 m/s on…

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Q: A 8,511 newton car is initially at rest. How much force (in Newton) is required to move the car by…

A: 2

Q: Samantha pushes a 5.7 kg crate up a ramp 5.2 * 102 m in length and inclined at 9.6° with the…

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Q: An automobile accelerates from rest at a(t) = 1+3vt mph per second for 9 seconds. What is its…

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Q: #Ś A spherical balloon is filled with helium at a rate of 200 cmsec.At the moment when the radius is…

A: we have to find the rate change of surface area of the spherical balloon

Q: A rocket lifts off the surface of Earth with a constant acceleration of 20 m/sec2. How fast will the…

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Q: Calculate the rate of change of escape velocity vesc = (2.82 × 107)r−1/2 m/s with respect to…

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Q: You sling a shovelful of dirt up from the bottom of a hole with an initial velocity of 32 ft/sec.…

A: Gravity on Earth a≈ 32 ft/sec^2. We use negative here to point downwards.Velocity v and position s…

Q: A fairgrounds ride spins its occupants inside a flying-saucer-shaped container. If the horizontal…

A: It is given that the horizontal circular path the riders follow has a 8.00 m radius and the…

Q: A block with a mass of 9.00 kg is pulled at a constant speed across a horizontal tabletop with a…

A: Coefficient of kinetic friction =fR where, f=61.8 N & R=9 kg

Q: A mass weighing 64N stretches a spring 0.32 m. The mass is initially released from a point 8 m above…

A: Given, a mass weighing 64N stretches a spring 0.32 m. The mass is initially released from a point 8…

Q: A triangular trough is 3.6 meters long, 1.2 meters 0.9 meter wide at the top as shown in the figure…

A: To evaluate the volume of the water, use the formula for the triangular trough, V=Ah, where A is the…

Q: A mass weighing 64N stretches a spring 0.32 m. The mass is initially released from a point 8 m above…

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Q: A Fluid flows in an inverted conical tank, 14 in diameter on top and 24in deep at a rate of…

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Q: A runner starts from rest and accelerates at 2 m/s?. Assuming constant acceleration for the entire…

A: Given that a runner starts from rest and accelerates at  2 m/s2. And the acceleration is constant…

Q: The heat transfer rate of the rocket engine is given by:

A: Part (a) - Given equation - Q = -kAdTdx        ..........(1)Given that - T(x) = tanxsecx + sinx2k =…

Q: With what initial velocity must an object be thrown upward from a height of 8 feet to reach a…

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Q: A spring is stretched 4 in. by a 2-lb weight. The 2-Ib weight is started from the equilibrium point…

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Q: A 50 – gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 lb…

A: Remaining capacity of tank is 50-10 = 40 gallons.

Q: A child and sled a combined mass of 45.0 kg side down a frictionless slope. the starts rest and has…

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Q: ) A snowball is melting at a rate of 1 cm3 per second. If it remains spherical, how fast is the…

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Q: A frictionless spring with a 4-kg mass can be held stretched 2 meters beyond its natural length by a…

A: From the given information, m=4 kg, k=1002 Nm. Let xt represents the position of the mass at time t,…

Q: Water is flowing into a vertical cylindrical tank at the rate of 5 cu ft/min. If the- radius of the…

A: The volume of a cylinder is given by the formula V=πr2h. Where, V-volume, r-radius and h is the…

Q: Show that the period of motion of an undamped vibration of a mass hunging from a vertical spring is…

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Q: A force of 9 lb is required to keep a spring compressed to 6. ft shorter than its equilibrium…

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Q: On the moon, the acceleration due to gravity is 1.6 m/sec2. a) If a rock is dropped into a crevasse,…

A: a) The acceleration due to gravity on the moon is -1.6 m/sec2. Recall that the second derivative of…

Q: 4. Water is draining from a cylindrical tank at 2.52 L/sec. Assume that the water tank has a…

A: Given: Water is draining at a rate of  2.52L/sec=2520 cm3/sec The water tank has a diameter of 50…

Q: An impulse of -9 N*sec is applied during 3 seconds to a 2Kg mass, the acceleration is:

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Q: (4)Show correct Answer for this 1 question and Highlight it, tysm!!

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Q: A spherical balloon is expanding at a rate of 60n in.3 How fast is the surface area of the balloon…

A: Use formula of surface area of shpare and take derivative of that than put given values.

Q: A raindrop falls with acceleration 9.8 m/sec² , where "v" is its velocity. What is the raindrop's…

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